0.05Z+0.03(1200-Z)=42

Solution for 0.05Z+0.03(1200-Z)=42 equation:

Simplifying
0.05Z + 0.03(1200 + -1Z) = 42
0.05Z + (1200 * 0.03 + -1Z * 0.03) = 42
0.05Z + (36 + -0.03Z) = 42

Reorder the terms:
36 + 0.05Z + -0.03Z = 42

Combine like terms: 0.05Z + -0.03Z = 0.02Z
36 + 0.02Z = 42

Solving
36 + 0.02Z = 42

Solving for variable 'Z'.

Move all terms containing Z to the left, all other terms to the right.

Add '-36' to each side of the equation.
36 + -36 + 0.02Z = 42 + -36

Combine like terms: 36 + -36 = 0
0 + 0.02Z = 42 + -36
0.02Z = 42 + -36

Combine like terms: 42 + -36 = 6
0.02Z = 6

Divide each side by '0.02'.
Z = 300

Simplifying
Z = 300